{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:VMRZXOVRW65TYDLVW24OY2S57U","short_pith_number":"pith:VMRZXOVR","schema_version":"1.0","canonical_sha256":"ab239bbab1b7bb3c0d75b6b8ec6a5dfd33cd1c6da491eb17dc25506962600f63","source":{"kind":"arxiv","id":"2502.10069","version":1},"attestation_state":"computed","paper":{"title":"Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"R\\'emi Abgrall, Walter Boscheri, Yongle Liu","submitted_at":"2025-02-14T10:43:57Z","abstract_excerpt":"We present a novel discretisation strategy, strongly inspired from Roe's Active Flux scheme. It can use polygonal meshes and is provably bound preserving for scalar problems and the Euler equations. Several cases demonstrates the quality of the method, and improvements with respect to previous work of the authors. This paper is a summary of \\cite{BPPampa}."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2502.10069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-02-14T10:43:57Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"1bb058f8723d5fbf14db154437b0ae79c45b9fa68fdb3dff03c94097433f8079","abstract_canon_sha256":"f2115eea1fcccfc34c05ca0db0ca217d248303adcd2e6e74afabccf10d339cc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:16.751102Z","signature_b64":"RiOuCvh1WV5rT708Ma1A4/W9qvuHwDFtowmIXF+W3T31B/6PcSF+SGKm6HHLpLKjqf2pvEVc8SooLE4sLLcJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab239bbab1b7bb3c0d75b6b8ec6a5dfd33cd1c6da491eb17dc25506962600f63","last_reissued_at":"2026-07-05T10:14:16.750649Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:16.750649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"R\\'emi Abgrall, Walter Boscheri, Yongle Liu","submitted_at":"2025-02-14T10:43:57Z","abstract_excerpt":"We present a novel discretisation strategy, strongly inspired from Roe's Active Flux scheme. It can use polygonal meshes and is provably bound preserving for scalar problems and the Euler equations. Several cases demonstrates the quality of the method, and improvements with respect to previous work of the authors. This paper is a summary of \\cite{BPPampa}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.10069","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.10069/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2502.10069","created_at":"2026-07-05T10:14:16.750709+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.10069v1","created_at":"2026-07-05T10:14:16.750709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.10069","created_at":"2026-07-05T10:14:16.750709+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMRZXOVRW65T","created_at":"2026-07-05T10:14:16.750709+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMRZXOVRW65TYDLV","created_at":"2026-07-05T10:14:16.750709+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMRZXOVR","created_at":"2026-07-05T10:14:16.750709+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.31992","citing_title":"GQL-Based Physical-Constraint-Preserving High-Order Finite Difference Schemes for Special Relativistic Hydrodynamics in Arbitrary Dimensions","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2508.17147","citing_title":"Some new properties of an Active flux type scheme: PamPa","ref_index":8,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U","json":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U.json","graph_json":"https://pith.science/api/pith-number/VMRZXOVRW65TYDLVW24OY2S57U/graph.json","events_json":"https://pith.science/api/pith-number/VMRZXOVRW65TYDLVW24OY2S57U/events.json","paper":"https://pith.science/paper/VMRZXOVR"},"agent_actions":{"view_html":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U","download_json":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U.json","view_paper":"https://pith.science/paper/VMRZXOVR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.10069&json=true","fetch_graph":"https://pith.science/api/pith-number/VMRZXOVRW65TYDLVW24OY2S57U/graph.json","fetch_events":"https://pith.science/api/pith-number/VMRZXOVRW65TYDLVW24OY2S57U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U/action/storage_attestation","attest_author":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U/action/author_attestation","sign_citation":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U/action/citation_signature","submit_replication":"https://pith.science/pith/VMRZXOVRW65TYDLVW24OY2S57U/action/replication_record"}},"created_at":"2026-07-05T10:14:16.750709+00:00","updated_at":"2026-07-05T10:14:16.750709+00:00"}